Question: Consider the following pairs of measurements. a. Construct a scatterplot of these data. b. Find the least squares line, and plot it on your scatterplot.

Consider the following pairs of measurements.x 13 y 3 25 5 34 4 5 6 7 4

a. Construct a scatterplot of these data.

b. Find the least squares line, and plot it on your scatterplot.

c. Find s2.

d. Find a 90% confidence interval for the mean value of y when x = 4. Plot the upper and lower bounds of the confidence interval on your scatterplot.

e. Find a 90% prediction interval for a new value of y when x = 4. Plot the upper and lower bounds of the prediction interval on your scatterplot.

f. Compare the widths of the intervals you constructed in parts d and

e. Which is wider and why?

x 13 y 3 25 5 34 4 5 6 7 4 6 7 7 10

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